Leonhardt, Laurel J.2024-02-122024-02-1210.15786/13700305https://wyoscholar.uwyo.edu/handle/internal/6269https://doi.org/10.15786/13700305The history of Verhulst's logistic equation is discussed. Bifurcation diagrams and the importance of the discrete logistic equation in chaos theory are introduced. The results of adding noise to the discrete logistic equation are computed. Surprising linearity is discovered in the relationship between error bounds placed on the period two region and the amount of noise added to the system.enghttps://creativecommons.org/licenses/by/4.0/BifurcationChaos TheoryLogistic GrowthSensitive Dependence on Initial ConditionsNon-linear Dynamicsthesis